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542032426144 = 25117336735743
BaseRepresentation
bin1111110001100111010…
…01100111010010100000
31220211002011122012021101
413320303221213102200
532340040300114034
61053001204004144
754106032413656
oct7706351472240
91824064565241
10542032426144
111999691a0370
1289071690654
133c1622bba51
141c33d6cadd6
15e175c85514
hex7e33a674a0

542032426144 has 96 divisors (see below), whose sum is σ = 1180611742464. Its totient is φ = 242894868480.

The previous prime is 542032426127. The next prime is 542032426181. The reversal of 542032426144 is 441624230245.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94378537 + ... + 94384279.

It is an arithmetic number, because the mean of its divisors is an integer number (12298038984).

Almost surely, 2542032426144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542032426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590305871232).

542032426144 is an abundant number, since it is smaller than the sum of its proper divisors (638579316320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542032426144 is a wasteful number, since it uses less digits than its factorization.

542032426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9510 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 542032426144 its reverse (441624230245), we get a palindrome (983656656389).

The spelling of 542032426144 in words is "five hundred forty-two billion, thirty-two million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3212 3673 5743 6424 7346 11486 12848 14692 22972 25696 29384 40403 45944 58768 63173 80806 91888 117536 126346 161612 183776 252692 268129 323224 419239 505384 536258 646448 838478 1010768 1072516 1292896 1676956 2021536 2145032 2949419 3353912 4290064 4611629 5898838 6707824 8580128 9223258 11797676 13415648 18446516 21094039 23595352 36893032 42188078 47190704 73786064 84376156 94381408 147572128 168752312 232034429 337504624 464068858 675009248 928137716 1539864847 1856275432 3079729694 3712550864 6159459388 7425101728 12318918776 16938513317 24637837552 33877026634 49275675104 67754053268 135508106536 271016213072 542032426144